Convergingly

adv. [f. prec. + -LY².] In a converging way; with convergence.

1832.  Nat. Philos., Thermom. & Pyrom., ii. 27 (Useful Knowl. Soc.). Two brass rods … fixed on a brass plate convergingly.

1890.  Cornh. Mag., Aug., 139. He had always read with a purpose; carefully, thoughtfully, in certain fixed lines, convergingly.